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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 967 · 40 questions
TalentJR

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

NameDateTime takenScore ___ / 40
  1. 1.What is the mode of 4, 4, 2, 4, 19, 10 and 19? (a) 19 (b) 10 (c) 2 (d) 4
  2. 2.The mean of 9 numbers is 18. When the number 48 is added to them, what is the new mean? (a) 21 (b) 18 (c) 33 (d) 22
  3. 3.The mean of 6 numbers is 32. When the number 53 is added to them, what is the new mean? (a) 36 (b) 32 (c) 34 (d) 35
  4. 4.What is the mode of 1, 10, 4, 12, 4, 4 and 10? (a) 10 (b) 1 (c) 12 (d) 4
  5. 5.What is the mean of 11, 5, 13, 5, 10 and 16? (a) 11 (b) 12 (c) 10 (d) 9
  6. 6.What is the mean of 3, 17, 19, 10, 6 and 11? (a) 13 (b) 10 (c) 11 (d) 12
  7. 7.What is the mode of 6, 12, 5, 5, 12, 20 and 12? (a) 6 (b) 12 (c) 5 (d) 20
  8. 8.The mean of 7 numbers is 40. When the number 8 is added to them, what is the new mean? (a) 36 (b) 24 (c) 37 (d) 40
  9. 9.The mean of 7 numbers is 35. When the number 11 is added to them, what is the new mean? (a) 32 (b) 35 (c) 23 (d) 33
  10. 10.The mean of 4 numbers is 21. When the number 26 is added to them, what is the new mean? (a) 21 (b) 22 (c) 23 (d) 24
  11. 11.The mean of 4 numbers is 17. When the number 2 is added to them, what is the new mean? (a) 17 (b) 15 (c) 14 (d) 13
  12. 12.The mean of 5 numbers is 37. When the number 31 is added to them, what is the new mean? (a) 34 (b) 35 (c) 37 (d) 36
  13. 13.The mean of 6 numbers is 11. When the number 4 is added to them, what is the new mean? (a) 9 (b) 10 (c) 12 (d) 11
  14. 14.What is the median of 31, 5, 8, 39, 2, 11 and 12? (a) 39 (b) 8 (c) 11 (d) 12
  15. 15.The mean of 3 numbers is 32. When the number 24 is added to them, what is the new mean? (a) 28 (b) 32 (c) 31 (d) 30
  16. 16.What is the median of 35, 13, 30, 17, 39, 21 and 4? (a) 22 (b) 21 (c) 30 (d) 17
  17. 17.What is the mean of 3, 11, 11, 4, 11 and 8? (a) 10 (b) 9 (c) 8 (d) 7
  18. 18.What is the median of 32, 39, 25, 3, 6, 30 and 19? (a) 25 (b) 3 (c) 22 (d) 30
  19. 19.What is the median of 33, 16, 37, 12 and 4? (a) 12 (b) 16 (c) 37 (d) 33
  20. 20.What is the mean of 10, 15, 13 and 10? (a) 16 (b) 13 (c) 12 (d) 11
  21. 21.What is the mode of 10, 4, 2, 2, 4, 2 and 17? (a) 10 (b) 4 (c) 2 (d) 17
  22. 22.What is the mean of 20, 7, 4, 20 and 9? (a) 13 (b) 12 (c) 10 (d) 15
  23. 23.What is the mode of 16, 6, 5, 11, 11, 6 and 6? (a) 11 (b) 6 (c) 5 (d) 16
  24. 24.What is the mode of 5, 1, 12, 5, 12, 12 and 17? (a) 12 (b) 5 (c) 1 (d) 17
  25. 25.What is the median of 32, 3, 16, 12 and 6? (a) 6 (b) 13 (c) 16 (d) 12
  26. 26.What is the mean of 7, 7, 3, 17 and 11? (a) 9 (b) 11 (c) 8 (d) 10
  27. 27.What is the mean of 2, 4, 20, 5 and 4? (a) 8 (b) 9 (c) 6 (d) 7
  28. 28.What is the mode of 11, 17, 17, 9, 9, 17 and 16? (a) 11 (b) 9 (c) 16 (d) 17
  29. 29.What is the median of 4, 17, 21, 25 and 23? (a) 21 (b) 23 (c) 18 (d) 17
  30. 30.What is the mode of 10, 3, 14, 2, 14, 10 and 14? (a) 10 (b) 3 (c) 2 (d) 14
  31. 31.The mean of 6 numbers is 37. When the number 9 is added to them, what is the new mean? (a) 23 (b) 34 (c) 37 (d) 33
  32. 32.What is the mean of 4, 10, 10, 17 and 9? (a) 9 (b) 11 (c) 12 (d) 10
  33. 33.What is the mean of 6, 6, 2 and 6? (a) 4 (b) 5 (c) 6 (d) 7
  34. 34.What is the median of 31, 17, 39, 10, 25, 35 and 29? (a) 25 (b) 31 (c) 10 (d) 29
  35. 35.What is the mean of 4, 4, 9 and 11? (a) 7 (b) 6 (c) 9 (d) 8
  36. 36.What is the mode of 9, 9, 8, 11, 15, 15 and 9? (a) 11 (b) 15 (c) 8 (d) 9
  37. 37.What is the mean of 3, 5, 4 and 16? (a) 7 (b) 9 (c) 6 (d) 8
  38. 38.What is the mean of 13, 4, 18 and 5? (a) 10 (b) 11 (c) 8 (d) 9
  39. 39.What is the mean of 5, 7, 5, 13 and 20? (a) 12 (b) 9 (c) 11 (d) 10
  40. 40.What is the median of 28, 19, 12, 4, 5, 18 and 1? (a) 4 (b) 5 (c) 12 (d) 18

Answer key

  1. 4
  2. 21
  3. 35
  4. 4
  5. 10
  6. 11
  7. 12
  8. 36
  9. 32
  10. 22
  11. 14
  12. 36
  13. 10
  14. 11
  15. 30
  16. 21
  17. 8
  18. 25
  19. 16
  20. 12
  21. 2
  22. 12
  23. 6
  24. 12
  25. 12
  26. 9
  27. 7
  28. 17
  29. 21
  30. 14
  31. 33
  32. 10
  33. 5
  34. 29
  35. 7
  36. 9
  37. 7
  38. 10
  39. 10
  40. 12

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